Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4

Abstract

In this study, the differential equation characterizations of constant breadth timelike curves are given in Minkowski 4-space E14. Furthermore, a criterion for a timelike curve to be a curve of constant breadth in E14 is introduced. As an example, the obtained results are applied to the case that the curvatures k1, k2, k3 and are discussed.